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Old Sep 11th 2010, 11:53 PM   #1
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Electromagnetism

Three metal balls with unequal radii R1 < R2 < R3 are placed at the vertices of an equilateral triangle, whose sides have length a. The balls are connected by thin metal wires. A positively charged rod is brought into contact with one of the balls and transfers an amount of charge +Q to the system.
(a)
Show that the charge Qi on the i-th sphere (i = 1,2,3) is given by
Qi/Q = Ri/(R1+R2+R3)
(c)
What is the magnitude and direction of the electric dipole moment of the system, if two of the balls have equal radii (e.g. R1 = R2)? Hint: electric dipole moments add like vectors.

Last edited by tsang; Sep 11th 2010 at 11:57 PM.
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Old Sep 14th 2010, 03:55 PM   #2
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Potencial of all balls is the same
Q1/R1=Q2/R2=Q3/R3
Q1+Q2+Q3=Q
we get (a).
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